12(-2n-4)+6n=3(-5n-2)

Solution for 12(-2n-4)+6n=3(-5n-2) equation:

Simplifying
12(-2n + -4) + 6n = 3(-5n + -2)

Reorder the terms:
12(-4 + -2n) + 6n = 3(-5n + -2)
(-4 * 12 + -2n * 12) + 6n = 3(-5n + -2)
(-48 + -24n) + 6n = 3(-5n + -2)

Combine like terms: -24n + 6n = -18n
-48 + -18n = 3(-5n + -2)

Reorder the terms:
-48 + -18n = 3(-2 + -5n)
-48 + -18n = (-2 * 3 + -5n * 3)
-48 + -18n = (-6 + -15n)

Solving
-48 + -18n = -6 + -15n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '15n' to each side of the equation.
-48 + -18n + 15n = -6 + -15n + 15n

Combine like terms: -18n + 15n = -3n
-48 + -3n = -6 + -15n + 15n

Combine like terms: -15n + 15n = 0
-48 + -3n = -6 + 0
-48 + -3n = -6

Add '48' to each side of the equation.
-48 + 48 + -3n = -6 + 48

Combine like terms: -48 + 48 = 0
0 + -3n = -6 + 48
-3n = -6 + 48

Combine like terms: -6 + 48 = 42
-3n = 42

Divide each side by '-3'.
n = -14

Simplifying
n = -14